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Finding the Fourth Proportional to 2,555.60, 3,831.81 and 1,093.50

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Solution

The fourth proportional to 2,555.60, 3,831.81 and 1,093.50 is: 1,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.60 : 3,831.81 = 1,093.50 : x
  2. Step 2: Convert to fraction form
    2,555.60/3,831.81 = 1,093.50/x
  3. Step 3: Cross multiply
    2,555.60x = 3,831.81 × 1,093.50
  4. Step 4: Simplify right side
    2,555.60x = 4,190,080.13
  5. Step 5: Solve for x
    x = 4,190,080.13/2,555.60
  6. Step 6: Final answer
    x = 1,639.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.